54586320 has 120 divisors (see below), whose sum is σ = 179985504. Its totient is φ = 13682688.

The previous prime is 54586313. The next prime is 54586321. The reversal of 54586320 is 2368545.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×54586320² = 5959332662284800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54586321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68967 + ... + 69753.

Almost surely, 2^54586320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54586320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89992752).

54586320 is an abundant number, since it is smaller than the sum of its proper divisors (125399184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54586320 is a wasteful number, since it uses less digits than its factorization.

54586320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 54586320 is about 7388.2555451202. The cubic root of 54586320 is about 379.3393877714.

The spelling of 54586320 in words is "fifty-four million, five hundred eighty-six thousand, three hundred twenty".